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Re: copular dia

I will work on those. The problem is not the diagrams, but my lack of skill in diagramming with a mouse.
The words "copula" and "copulative verbs", incidentally, are unfamiliar to Americans. We call them "linking verbs". I am guessing that in teaching students, "copulative" was too close to "copulation" to keep their attention.
Similarly we usually refer to auxiliary verbs as "helping verbs".
Back to your sentences, I would treat all of the simple predicates as linking verbs.
LF

Re: copular dia

"Dream" is a predicate nominative.
But "dream come" is not predication. "Dream" is being modified by the participle "come". It is the past participle of "to come" Today I come, yesterday I came, I have COME".
In a sentence like "May the day come!" it would be predication. An analogous sentence part would be "...my nightmare repeated endlessly..."

Re: copular dia

Nice work!
In the first sentence, however, I don't think "to" is understood. Rather "come" is the past participle, hence "come true" is a participial phrase. H&H diagrams participles around the inside of the bend in the line.
In the second sentence "like" is missing. "Like" is a preposition, and it would work to put the prepositional phrase on a standard as the predicate adjective.
In the third sentence "complaining" is a gerund. In H&H gerunds are placed (rather awkwardly) over a step to the left of a "base line".

Re: copular dia

I have never heard of a "postposited adjective". I think it's that difference in terminology across the Atlantic.
Writing participles and gerunds over bends and steps is so awkward with a keyboard and mouse etc. that I think the effort should be abandoned -- as both you and are are tending to do.
I am gradually figuring out how to diagram with a mouse. I don't yet see how to make dashed lines though.
And I have still not managed to post a diagram on this forum.
Frank